From e8bf9ff614c2fa1ae20daf2494de729eede918c3 Mon Sep 17 00:00:00 2001 From: 3009594 Date: Fri, 30 Aug 2024 19:59:43 +0200 Subject: [PATCH] MergeSort --- .../SortierAlgorithmus/MergeSort.java | 63 +++++++++++++++++- .../SortierAlgorithmus/MergeSort.odt | Bin 0 -> 1019726 bytes 2 files changed, 62 insertions(+), 1 deletion(-) create mode 100644 Programmierung2/src/Algorithmus/SortierAlgorithmus/MergeSort.odt diff --git a/Programmierung2/src/Algorithmus/SortierAlgorithmus/MergeSort.java b/Programmierung2/src/Algorithmus/SortierAlgorithmus/MergeSort.java index 9bd0a43..54da234 100644 --- a/Programmierung2/src/Algorithmus/SortierAlgorithmus/MergeSort.java +++ b/Programmierung2/src/Algorithmus/SortierAlgorithmus/MergeSort.java @@ -1,10 +1,71 @@ package Algorithmus.SortierAlgorithmus; public class MergeSort { - // O(n log n) + /* - Zeitkomplexität von O(n log n) + * - Raumkomplexität O(n) + * - prinzip Divide (Teilen) und Conquer (Zusammenfügen) + * Divide (Teilen): Das Array wird rekursiv in zwei Hälften geteilt, bis jede Teilmenge nur noch ein einziges Element enthält. + * Conquer (Zusammenfügen): Die kleineren Teilmengen werden dann wieder zusammengeführt und dabei sortiert, um schließlich das vollständig sortierte Array zu erhalten. + * - Merge: zwei bereits sortierte Teilarrays oder -listen zu einem einzigen, sortierten Array zusammengeführen. + */ public static void main(String[] args) { + + int[] array = {12, 11, 13, 5, 6, 7}; + + mergSort(array, 0, array.length - 1); + + System.out.println("Sortiertes Array:"); + for (int i : array) + System.out.print(i + " "); + + } + + + public static void mergSort(int[] arr, int left, int right) { + if (left < right) { + int middel =(left + right) / 2; + mergSort(arr,left,middel); + mergSort(arr,middel + 1,right); + + merge(arr,left,middel,right); + } + } + + public static void merge(int[] arr, int left, int middle, int right) { + + // Größe der Teilarrays berechnen + int n1 = middle - left + 1; + int n2 = right - middle; + + // Temporäre Arrays erstellen + int[] leftArray = new int[n1]; + int[] rightArray = new int[n2]; + + // Daten in temporäre Arrays kopieren + for (int i = 0; i < n1; i++) + leftArray[i] = arr[left + i]; + for (int j = 0; j < n2; j++) + rightArray[j] = arr[middle + 1 + j]; + + // Zusammenführen der temporären Arrays + int i = 0, j = 0; + int k = left; + while (i < n1 && j < n2) { + if (leftArray[i] <= rightArray[j]) + arr[k++] = leftArray[i++]; + else + arr[k++] = rightArray[j++]; + } + + // Restliche Elemente von leftArray kopieren + while (i < n1) + arr[k++] = leftArray[i++]; + + // Restliche Elemente von rightArray kopieren + while (j < n2) + arr[k] = rightArray[j++]; } } diff --git a/Programmierung2/src/Algorithmus/SortierAlgorithmus/MergeSort.odt b/Programmierung2/src/Algorithmus/SortierAlgorithmus/MergeSort.odt new file mode 100644 index 0000000000000000000000000000000000000000..a7feb948e18c7fc1dca84fe29d6ce91751db0d08 GIT binary patch literal 1019726 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